What is the general solution for solvefor x,5=9.4cos(x) ?

The general solution for solvefor x,5=9.4cos(x) is x=1.00993…+2pin,x=2pi-1.00993…+2pin

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solvefor x,5=9.4cos(x)

solve for

x, 5 = 9.4 cos (x)

x = 1.00993 \dots + 2 πn, x = 2 π - 1.00993 \dots + 2 πn

Solution steps

5 = 9.4 cos (x)

Switch sides

9.4 cos (x) = 5

Multiply both sides by

10

94 cos (x) = 50

Divide both sides by

94

cos (x) = \frac{25}{47}

Apply trig inverse properties

x = arccos (\frac{25}{47}) + 2 πn, x = 2 π - arccos (\frac{25}{47}) + 2 πn

Show solutions in decimal form

x = 1.00993 \dots + 2 πn, x = 2 π - 1.00993 \dots + 2 πn

20 = 2.891 sin (0.016 d - 1.183) + 18.512

2 sin (θ) = - 1, 0 \leq θ < 2 π

cos (16 x) = 0

sin (θ) = - \frac{35}{6}

0.6 = cos (x)

What is the general solution for solvefor x,5=9.4cos(x) ?
The general solution for solvefor x,5=9.4cos(x) is x=1.00993…+2pin,x=2pi-1.00993…+2pin